Some new inequalities for (k,s)-fractional integrals


Authors

M. Aldhaifallah - Electrical Engineering Department, College of Engineering-Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Riyadh region 11991, Saudi Arabia. M. Tomar - Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey. K. S. Nisar - Department of Mathematics, College of Arts and Science- Wadi Al-Dawaser, Prince Sattam bin Abdulaziz University, Riyadh region 11991, Saudi Arabia. S. D. Purohit - Department of HEAS (Mathematics), Rajasthan Technical University, Kota-324010, India.


Abstract

In this paper, the (k; s)-fractional integral operator is used to generate new classes of integral inequalities using a family of n positive functions, \((n \in \mathbb{N} )\). Two classes of integral inequalities involving the (k; s)- fractional integral operator are derived here and these results allow us in particular to generalize some classical inequalities. Certain interesting consequent results of the main theorems are also pointed out.


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